What is the 3976th prime number?
The 3976th prime number is 37549. The next prime is 37561 (a gap of 12) and the one before is 37547.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3976th one is 37549.
- 2
37549 is prime because no prime up to ā37549 ā 193.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3976th prime is close to 3976 Ć ln(3976) ā 32953, and here it is 37549.
- 4
37549 is a twin prime: 37547 and 37549 are both prime.
Primes around the 3976th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3973 | 37529 | 12 |
| 3974 | 37537 | 8 |
| 3975 | 37547 | 10 |
| 3976 | 37549 | 2 |
| 3977 | 37561 | 12 |
| 3978 | 37567 | 6 |
| 3979 | 37571 | 4 |
Questions
What is the 3976th prime number?
37549.
Which prime number is 37549?
37549 is the 3976th prime number.
What is the sum of the first 3976 primes?
70,362,871.